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Finding the Fourth Proportional to 510,833.80, 766,688.10 and 226,961.20

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Solution

The fourth proportional to 510,833.80, 766,688.10 and 226,961.20 is: 340,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,833.80 : 766,688.10 = 226,961.20 : x
  2. Step 2: Convert to fraction form
    510,833.80/766,688.10 = 226,961.20/x
  3. Step 3: Cross multiply
    510,833.80x = 766,688.10 × 226,961.20
  4. Step 4: Simplify right side
    510,833.80x = 174,008,451,201.72
  5. Step 5: Solve for x
    x = 174,008,451,201.72/510,833.80
  6. Step 6: Final answer
    x = 340,636.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.